The topology of certain 3-Sasakian 7-manifolds
Algebraic Topology
2010-08-24 v2 Differential Geometry
Abstract
We calculate the integer cohomology ring and stable tangent bundle of a family of compact, 3-Sasakian 7-manifolds constructed by Boyer, Galicki, Mann, and Rees. Previously only the rational cohomology ring was known. The most important part of the cohomology ring is a torsion group that we describe explicitly and whose order we compute. There is a surprising connection with the combinatorics of trees.
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Cite
@article{arxiv.math/0511735,
title = {The topology of certain 3-Sasakian 7-manifolds},
author = {Richard A. Hepworth},
journal= {arXiv preprint arXiv:math/0511735},
year = {2010}
}
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24 pages